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Finding the Fourth Proportional to 20,165.56, 30,248.34 and 9,778.84

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Solution

The fourth proportional to 20,165.56, 30,248.34 and 9,778.84 is: 14,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.56 : 30,248.34 = 9,778.84 : x
  2. Step 2: Convert to fraction form
    20,165.56/30,248.34 = 9,778.84/x
  3. Step 3: Cross multiply
    20,165.56x = 30,248.34 × 9,778.84
  4. Step 4: Simplify right side
    20,165.56x = 295,793,677.13
  5. Step 5: Solve for x
    x = 295,793,677.13/20,165.56
  6. Step 6: Final answer
    x = 14,668.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.